Question

find the equation for the line with slope -9 containing the point (6,-7)

Answer 1

We have the equation of the line in point-slope form is

$(y-y_1)=m(x-x_1)$

where

m = slope = -9

(6,-7)=(x1,y1)

we substitute the values

$\begin{gathered} (y+7)=-9(x-6) \\ \end{gathered}$

then we need to isolate y

$\begin{gathered} y+7=-9x+54 \\ y=-9x+54-7 \\ y=-9x+47 \end{gathered}$

the equation of the line is

y=-9x+47